A rhombus is a parallelogram in which all of the sides have equal length. The diagonals of a rhombus are the line segments that run between opposite corners, or vertices of the rhombus. They satisfy certain properties, but not others. ...
These are all examples of congruent shapes. Additionally, a rhombus and a rectangle can be congruent if all sides are equal in length. This concept is especially important for any student studying geometry, as understanding what it means for two shapes to be congruent will help them understand ...
Peter said that he can put 41616 balls into a square shape, as well as into a triangle that corresponds to a triangular number. What are the sides of these shapes? The length of a rectangle is 5 more than its width. The total area of t...
The proof below uses CPCTC to prove that the diagonals of a rhombus bisect the shape's angles. This proof relies upon CPCTC. All that is necessary for this proof is the following definition for a rhombus: a parallelogram with four congruent sides. ...
rhombus What are all the names of all the quadrilateral with pictures? Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adj...
Note: Congruent segments, sides, and angles are often marked. Congruent Segments Congruent Angles All four sides of this rhombus are marked to show they are congruent to each other. The marked angles of this isosceles triangle are congruent to each other....
Demonstrate that the diagonals of the parallelogram in the figure intersect at their midpoints. Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular. Verify that parallelogram ABCD with vertices A( 5, ...
Which of the following quadrilaterals always have consecutive angles that are supplementary? a. Parallelograms b. Rectangles c. Rhombi d. Squares What type of quadrilateral always has four congruent sides? What is a quadrangle, a rhombus and a parallelogram? Which of the following is a property...
A trapezoid has a pair of opposite sides that are parallel and another pair of opposite sides that are non-parallel. The equality of sides is not a criterion for a quadrilateral to become a trapezoid. However, if the pair of no...
Prove that if the line that bisects a triangle's vertical angle also bisects the base, then the triangle is isosceles. Prove the following statement: The segment that joins the midpoints of the consecutive sides of a rhombus form a rect...